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Finding the Third Proportional to 319,352 and 444,029

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Solution

The third proportional to 319,352 and 444,029 is: 617,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,352 : 444,029 = 444,029 : x
  2. Step 2: Convert to fraction form
    319,352/444,029 = 444,029/x
  3. Step 3: Cross multiply
    319,352x = 444,029 × 444,029
  4. Step 4: Simplify right side
    319,352x = 197,161,752,841
  5. Step 5: Solve for x
    x = 197,161,752,841/319,352
  6. Step 6: Final answer
    x = 617,380.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.